Finding the Third Proportional to 491.25 and 654.38

Step by Step Solution

1. Step 1: Write the proportion equation
   491.25 : 654.38 = 654.38 : x
2. Step 2: Convert to fraction form
   491.25/654.38 = 654.38/x
3. Step 3: Cross multiply
   491.25x = 654.38 × 654.38
4. Step 4: Simplify right side
   491.25x = 428,206.64
5. Step 5: Solve for x
   x = 428,206.64/491.25
6. Step 6: Final answer
   x = 871.67